A remark on the uniqueness of Silverstein extensions of symmetric Dirichlet forms

Abstract

We prove the uniqueness of the Silverstein extension of symmetric Dirichlet forms under some condition on intrinsic metrics. As its application, we present some non-local Dirichlet forms which possess the uniqueness of the Silverstein extension and generate non-conservative Hunt processes.

title = "A remark on the uniqueness of Silverstein extensions of symmetric Dirichlet forms",

abstract = "We prove the uniqueness of the Silverstein extension of symmetric Dirichlet forms under some condition on intrinsic metrics. As its application, we present some non-local Dirichlet forms which possess the uniqueness of the Silverstein extension and generate non-conservative Hunt processes.",

T1 - A remark on the uniqueness of Silverstein extensions of symmetric Dirichlet forms

AU - Kuwae, Kazuhiro

AU - Shiozawa, Yuichi

PY - 2015/3/1

Y1 - 2015/3/1

N2 - We prove the uniqueness of the Silverstein extension of symmetric Dirichlet forms under some condition on intrinsic metrics. As its application, we present some non-local Dirichlet forms which possess the uniqueness of the Silverstein extension and generate non-conservative Hunt processes.

AB - We prove the uniqueness of the Silverstein extension of symmetric Dirichlet forms under some condition on intrinsic metrics. As its application, we present some non-local Dirichlet forms which possess the uniqueness of the Silverstein extension and generate non-conservative Hunt processes.